Recognised as Dice notation
71d10
- 71d10
- 71 to 710
- mean 390.5
Rolling 71d10 gives a total between 71 and 710, with a mean of 390.5 and a standard deviation of 24.2023. There are 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 390 or 391 at 1.644%.
The roll
Notation71d10
Dice71
Faces per die10
Minimum total71all 71 dice showing 1
Maximum total710all 71 dice showing 10
Distinct totals640
Mean390.5n(f + 1)/2 + modifier, exact
Variance585.75n(f² − 1)/12, exact
Standard deviation24.20227262≈
Counting the outcomes
Ordered outcomes100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00010^71, every die distinguishable
Most likely total390 and 391two totals share the peak
Chance of that total1.644463%≈
Ways to roll it1,644,462,821,139,402,876,263,811,733,601,869,452,981,002,206,304,809,361,823,295,779,267,635exact count
Chance of the minimum1 × 10^-69%≈1 in 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum1 × 10^-69%≈1 in 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Shape of the distribution
640 distinct totals, too many to list individually.
1st percentile334≈1.023% of rolls are this or lower
5th percentile351≈5.358% of rolls are this or lower
25th percentile374≈25.465% of rolls are this or lower
50th percentile390≈50% of rolls are this or lower
75th percentile407≈75.841% of rolls are this or lower
95th percentile430≈95.079% of rolls are this or lower
99th percentile447≈99.086% of rolls are this or lower
Chance of rolling at least
135100%≈
231100%≈
39150%≈
5505.76573269 × 10^-10%≈
6462.42538549 × 10^-30%≈
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